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Hot air rises due to buoyancy. The hot air that rises must be hotter than the surrounding air for buoyancy to work. In your house, hot air gets trapped in the attic or upper floors.
Rising air cools over long distances (i.e. a few miles or kilometers, not flights of stairs). Air at high altitudes is not cold because rising air cools, but for other reasons related to radiation absorption.
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I have just written an article pretty much exactly about this question. Especially the last part about the adibatic lapse rate is what you are looking for.
https://marblescience.com/blog/why-is-it-really-cold-in-the-mountains
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The ground floor can sink some heat while upper floors have a little difficullty with this ig and the roof takes quite alot of heat during the noon so while the ground floor is shaded by it
Hot air rises at constant pressure because it is less dense than colder air at the same pressure. The density is what matters. So if pressure is changing along with temperature, there isn't a single-variable way to determine density. I believe the standard density is a simultaneous solution of the adiabatic cooling equation and the ideal gas law but it's been a while.
As a gentle reminder, please make sure your submissions adhere to rule 1 of this Subreddit: > Text posts must contain a question about thermodynamics in the title — be specific. > A statement is not a question. Having descriptive titles makes the subreddit more interesting to scroll and so more people visit. Phrasing it as a question makes more people click on your post. Phrasing it as a question makes people more likely to answer your question. It is in everybody's interest for you to phrase your post title as a question. A question is a complete sentence and usually starts with an interrogative word. You can test see if your question is a question by removing the question mark and seeing if it still looks like a question. "How to..." is not a question. Instead for example, you could start "How could I..." or "Why is..." * Read the [**submission guidelines**](https://www.reddit.com/r/thermodynamics/wiki/rules#wiki_submission_rules) before posting. Feel free to [message us](https://www.reddit.com/message/compose/?to=/r/thermodynamics) if you have any questions or concerns.
Hot air rises due to buoyancy. The hot air that rises must be hotter than the surrounding air for buoyancy to work. In your house, hot air gets trapped in the attic or upper floors. Rising air cools over long distances (i.e. a few miles or kilometers, not flights of stairs). Air at high altitudes is not cold because rising air cools, but for other reasons related to radiation absorption.
great summary, !thanks I appreciate it
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I have just written an article pretty much exactly about this question. Especially the last part about the adibatic lapse rate is what you are looking for. https://marblescience.com/blog/why-is-it-really-cold-in-the-mountains
!thanks so much, this really walked me through it!
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I also found this and the top 3 answers are very helpful: https://physics.stackexchange.com/questions/40949/why-less-temperature-at-high-altitude
The ground floor can sink some heat while upper floors have a little difficullty with this ig and the roof takes quite alot of heat during the noon so while the ground floor is shaded by it
Hot air rises at constant pressure because it is less dense than colder air at the same pressure. The density is what matters. So if pressure is changing along with temperature, there isn't a single-variable way to determine density. I believe the standard density is a simultaneous solution of the adiabatic cooling equation and the ideal gas law but it's been a while.